Divisible by 5

Divisible by 5 is discussed below:

Consider the multiples of 5: 5, 10, 15, 20, 25, 30, 35, .........

All the multiples of 5 end with 0 or 5.

A number is divisible by 5 if its units place is 0 or 5.

1. Consider the following numbers which are divisible by 5, using the test of divisibility by 5: 50, 75, 90, 165, 120.

Solution:

(i) 50

In 50, the unit’s place digit is 0.

Hence, 50 is divisible by 5.

(ii) 75

In 75, the unit’s place digit is 0.

Hence, 75 is divisible by 5.

(iii) 90

In 90, the unit’s place digit is 0.

Hence, 90 is divisible by 5.

(iv) 165

In 165, the unit’s place digit is 5.

Hence, 165 is divisible by 5.

(v) 120

In 120, the unit’s place digit is 0.

Hence, 120 is divisible by 5.

2. Consider the following numbers which are not divisible by 5, using the rules of divisibility by 5: 54, 77, 106, 127, 152.

Note: A number is divisible by 5 if the digit in the units place is 5 or 0.

Solution:

(i) 54

In 54, the unit’s place digit is 4.

Hence, 54 is not divisible by 5.

(ii) 77

In 77, the unit’s place digit is 7.

Hence, 77 is not divisible by 5.

(iii) 106

In 106, the unit’s place digit is 6.

Hence, 106 is not divisible by 5.

(iv) 127

In 127, the unit’s place digit is 7.

Hence, 127 is not divisible by 5.

(v) 152

In 152, the unit’s place digit is 2.

Hence, 152 is not divisible by 5.

Questions and Answers on Divisible by 5:

1. Which of the following numbers are divisible by 5?

(i) 815

(ii) 3464

(iii) 1900

(iv) 1238

(v) 460

(vi) 4945

(vii) 5555

(viii) 10000

Answer:

1. (i) 815

(iii) 1900

(v) 460

(vi) 4945

(vii) 5555

(viii) 10000

2. What is the smallest number that should be added to the following numbers to get a number divisible by 5?

(i) 174

(ii) 5008

(iii) 1836

(iv) 9912

(v) 251

Answer:

2. (i) 1

(ii) 2

(iii) 4

(iv) 3

(v) 4

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